TY - JOUR

T1 - Standing waves, localised near the shoreline of a water basin, and asymptotic quasimodes.

AU - Лялинов, Михаил Анатольевич

PY - 2024/6/10

Y1 - 2024/6/10

N2 - In this work, formal asymptotic solutions of a problem for linear water waves in a boundedbasin are constructed. The solutions have the form of asymptotic quasi-modes and areused for the description of standing water waves localised near the shoreline. Such shortwavelengthquasi-modes exist only for a discrete set of frequencies which are determinedby means of a quantisation-type condition. Some numerical results are also addressed.

AB - In this work, formal asymptotic solutions of a problem for linear water waves in a boundedbasin are constructed. The solutions have the form of asymptotic quasi-modes and areused for the description of standing water waves localised near the shoreline. Such shortwavelengthquasi-modes exist only for a discrete set of frequencies which are determinedby means of a quantisation-type condition. Some numerical results are also addressed.

KW - Faraday waves

KW - surface gravity waves

KW - wave scattering

UR - https://www.mendeley.com/catalogue/e9aa96f3-149e-3606-a9a4-4e7e3df22123/

U2 - 10.1017/jfm.2024.438

DO - 10.1017/jfm.2024.438

M3 - Article

VL - 988

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

M1 - A22

ER -